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Simplifying 15x + -102 = 9x + 114 Reorder the terms: -102 + 15x = 9x + 114 Reorder the terms: -102 + 15x = 114 + 9x Solving -102 + 15x = 114 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -102 + 15x + -9x = 114 + 9x + -9x Combine like terms: 15x + -9x = 6x -102 + 6x = 114 + 9x + -9x Combine like terms: 9x + -9x = 0 -102 + 6x = 114 + 0 -102 + 6x = 114 Add '102' to each side of the equation. -102 + 102 + 6x = 114 + 102 Combine like terms: -102 + 102 = 0 0 + 6x = 114 + 102 6x = 114 + 102 Combine like terms: 114 + 102 = 216 6x = 216 Divide each side by '6'. x = 36 Simplifying x = 36
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